{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:W366GMKTMXVBE5VAPB7L4QEZOU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"df7d1f5d2d01188d46672c283e16a7f1685031918721824bbf2b7db658ad3f4f","cross_cats_sorted":["physics.bio-ph","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-09-19T03:58:10Z","title_canon_sha256":"7c1e36b903e36ce58f9bfc3c161c5d07762bc93c79dd699e0ba80422cc37dbb3"},"schema_version":"1.0","source":{"id":"1409.5510","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5510","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5510v3","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5510","created_at":"2026-05-18T02:17:51Z"},{"alias_kind":"pith_short_12","alias_value":"W366GMKTMXVB","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W366GMKTMXVBE5VA","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W366GMKT","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:cd1d6033da070d38f0fb268997d302aaee8cfa7b1765f344cd1a8a187b3f489e","target":"graph","created_at":"2026-05-18T02:17:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Networks in nature do not act in isolation but instead exchange information, and depend on each other to function properly. An incipient theory of Networks of Networks have shown that connected random networks may very easily result in abrupt failures. This theoretical finding bares an intrinsic paradox: If natural systems organize in interconnected networks, how can they be so stable? Here we provide a solution to this conundrum, showing that the stability of a system of networks relies on the relation between the internal structure of a network and its pattern of connections to other network","authors_text":"Andr\\'es Babino, Hern\\'an A. Makse, Jos\\'e S. Andrade Jr., Mariano Sigman, Santiago Canals, Saulo D. S. Reis, Yanqing Hu","cross_cats":["physics.bio-ph","q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-09-19T03:58:10Z","title":"Avoiding catastrophic failure in correlated networks of networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5510","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d87602b1bead196ba0852047f2d5b2d8b243c512ef886905c1331dde8fd052cf","target":"record","created_at":"2026-05-18T02:17:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"df7d1f5d2d01188d46672c283e16a7f1685031918721824bbf2b7db658ad3f4f","cross_cats_sorted":["physics.bio-ph","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-09-19T03:58:10Z","title_canon_sha256":"7c1e36b903e36ce58f9bfc3c161c5d07762bc93c79dd699e0ba80422cc37dbb3"},"schema_version":"1.0","source":{"id":"1409.5510","kind":"arxiv","version":3}},"canonical_sha256":"b6fde3315365ea1276a0787ebe409975272255f35f99955e3ff94afd66571b7c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6fde3315365ea1276a0787ebe409975272255f35f99955e3ff94afd66571b7c","first_computed_at":"2026-05-18T02:17:51.868938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:17:51.868938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cH5QXWs05L8lVGegp0PUjWPjn/x/NHWvgUByOMJ7rIwaA0sz3dduUFLLXKgiVYa4rabZMwoNY+Pq7VPF3e8JBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:17:51.869622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5510","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d87602b1bead196ba0852047f2d5b2d8b243c512ef886905c1331dde8fd052cf","sha256:cd1d6033da070d38f0fb268997d302aaee8cfa7b1765f344cd1a8a187b3f489e"],"state_sha256":"0810791a3d2da22d51fedd2cf87b7f4389004493daf1c74d4d07c0fa21dd33d7"}